\newproblem{lay:2_9_1}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 2.9.1}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
  Given the basis $B=\left\{\begin{pmatrix}1\\1\end{pmatrix},\begin{pmatrix}2\\-1\end{pmatrix}\right\}$ and $[\mathbf{x}]_B=\begin{pmatrix}3\\2\end{pmatrix}$. Find $\mathbf{x}$ and
	illustrate your answer.
}{
  % Solution
	Using the coordinates of $\mathbf{x}$ in the basis $B$ we find
	\begin{center}
		$\mathbf{x}=3\mathbf{b}_1+2\mathbf{b}_2=3\begin{pmatrix}1\\1\end{pmatrix}+2\begin{pmatrix}2\\-1\end{pmatrix}=\begin{pmatrix}7\\1\end{pmatrix}$
	\end{center}
	The following figure illustrates this situation
	\begin{center}
		\includegraphics[scale=0.8]{Tema3/lay_2_9_1.eps}
	\end{center}
}
\useproblem{lay:2_9_1}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
